163764 has 18 divisors (see below), whose sum is σ = 414050. Its totient is φ = 54576.

The previous prime is 163753. The next prime is 163771. The reversal of 163764 is 467361.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 11664 = 390^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2239 + ... + 2310.

2¹⁶³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

163764 is an abundant number, since it is smaller than the sum of its proper divisors (250286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163764 is a wasteful number, since it uses less digits than its factorization.

163764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4554 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 163764 is about 404.6776494940. The cubic root of 163764 is about 54.7107681666.

The spelling of 163764 in words is "one hundred sixty-three thousand, seven hundred sixty-four".